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Thermal self-focusing during solar flares

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Abstract

By solving a nonlinear equation for a heat source with a power proportional to Т β (β > 1), it is shown that heat localization in the transverse cross section of a magnetic tube with a classical thermal conductivity occurs in the blowup regime in the form of microstructures—temperature background cells bounded by hot walls with a spatial scale of <100 m. The reduction in the integral X-ray emissivity observed on board of spacecrafts in the early stage of the flare is attributed to thermal self-focusing, i.e., a decrease in the factor of filling of the flare volume with hot plasma due to the narrowing of the hot walls of the microstructure.

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References

  1. A. V. Stepanov, in Plasma Heliogeophysics, Ed. by L. M. Zelenyi and I. S. Veselovskii (Fizmatlit, Moscow, 2008), Vol. 1, p. 232 [in Russian].

    Google Scholar 

  2. M. A. Livshits, in Plasma Heliogeophysics, Ed. by L. M. Zelenyi and I. S. Veselovskii (Fizmatlit, Moscow, 2008), Vol. 1, p. 60 [in Russian].

    Google Scholar 

  3. A. A. Samarskii, A. Galaktionov, S. P. Kurdyumov, and A. P. Mikhailov, Regimes with Sharpening in Problems for Quasilinear Parabolic Equations (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  4. V. A. Kovalev, I. G. Kostyuchenko, M. I. Savchenko, and Yu. E. Charikov, Dynam. Complex Syst. XXI Cent. 3, 78 (2015).

    Google Scholar 

  5. S. Parenti, E. Buchlin, P. J. Cargill, S. Galtier, and J.-C. Vial, Astrophys. J. 651, 1219 (2006).

    Article  ADS  Google Scholar 

  6. S. I. Braginskii, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Consultants Bureau, New York, 1965), Vol. 1, p. 205.

    Google Scholar 

  7. E. S. Kurkina, E. D. Kuretova, and V. A. Kovalev, Comput. Math. Model. 26, 144 (2015).

    Article  MathSciNet  Google Scholar 

  8. E. S. Kurkina, Yu. V. Troshchiev, V. A. Kovalev, and E. D. Kuretova, Prikl. Mat. Inform. 50, 5 (2015).

    Google Scholar 

  9. V. A. Kovalev and B. V. Somov, Astron. Lett. 29, 409 (2003).

    Article  ADS  Google Scholar 

  10. V. A. Kovalev and A. I. Laptukhov, Plasma Phys. Rep. 35, 324 (2009).

    Article  ADS  Google Scholar 

  11. M. A. Livshits, O. G. Badalyan, and A. V. Belov, Astron. Rep. 46, 597 (2002).

    Article  ADS  Google Scholar 

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Correspondence to V. A. Kovalev.

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Original Russian Text © V.A. Kovalev, E.S. Kurkina, E.D. Kuretova, 2017, published in Fizika Plazmy, 2017, Vol. 43, No. 5, pp. 485–490.

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Kovalev, V.A., Kurkina, E.S. & Kuretova, E.D. Thermal self-focusing during solar flares. Plasma Phys. Rep. 43, 583–587 (2017). https://doi.org/10.1134/S1063780X17050063

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  • DOI: https://doi.org/10.1134/S1063780X17050063

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